Cricket Wicket By Catch

Cricket Wicket By Catch#

In a game of cricket akin to baseball, a batsman returns the ball bowled on a pitch and scores runs based on the distance travelled by the ball upon exiting the collision with the bat.

Part 1#

If the ball leaves the bat with a speed of \(u\ \rm{m/s}\) at an angle \(\alpha\) measured up from the horizontal as shown in the image below, determine the value of $\( \dot{R} \)\( in \)\rm{m/s}$ as observed by a stationary spectator.

../../../../../_images/part1.png

Treat the ball as a particle and assume an east-ward acceleration awind acting on the ball due to the wind.
\(\alpha = {{ params.a }}^\circ\), \(u = {{ params.u }}\ \rm{m/s}\), \(d = {{ params.d }}\ \rm{m}\), \(a\_{wind} = {{ params.a_w }}\ \rm{m/s^{2}}\).

Answer Section#

Please enter in a numeric value in m/s.

Part 2#

Determine the value of $\( \dot{\phi} \)$.

Answer Section#

Please enter in a numeric value in rad/s.

Part 3#

Determine the value of $\( \dot{\theta} \)$.

Answer Section#

Please enter in a numeric value in rad/s.

Part 4#

Determine the value of $\( \ddot{R} \)$.

Answer Section#

Please enter in a numeric value in \(ms^{-2}\).

Part 5#

Determine the value of $\( \ddot{\theta} \)$.

Answer Section#

Please enter in a numeric value in \(rads^{-2}\).

Part 6#

Determine the value of $\( \ddot{\phi} \)$.

Answer Section#

Please enter in a numeric value in \(rads^{-2}\).

Attribution#

Problem is licensed under the CC-BY-NC-SA 4.0 license.
The Creative Commons 4.0 license requiring attribution-BY, non-commercial-NC, and share-alike-SA license.